\[ a y(x)-b x^2+x^2 y^{(4)}(x)+2 x y^{(3)}(x)=0 \] ✗ Mathematica : cpu = 300.003 (sec), leaf count = 0
DSolve[-(b*x^2) + a*y[x] + 2*x*Derivative[3][y][x] + x^2*Derivative[4][y][x] == 0,y[x],x]
, timed out
$Aborted
✓ Maple : cpu = 0.069 (sec), leaf count = 89
dsolve(x^2*diff(diff(diff(diff(y(x),x),x),x),x)+2*x*diff(diff(diff(y(x),x),x),x)+a*y(x)-b*x^2=0,y(x))
\[y \left (x \right ) = \frac {b \,x^{2}}{a}+c_{1} \sqrt {x}\, \BesselJ \left (1, 2 \left (-a \right )^{\frac {1}{4}} \sqrt {x}\right )+c_{2} \sqrt {x}\, \BesselY \left (1, 2 \left (-a \right )^{\frac {1}{4}} \sqrt {x}\right )+c_{3} \sqrt {x}\, \BesselJ \left (1, 2 \sqrt {-\sqrt {-a}}\, \sqrt {x}\right )+c_{4} \sqrt {x}\, \BesselY \left (1, 2 \sqrt {-\sqrt {-a}}\, \sqrt {x}\right )\]